the purpose of this study is to compare the results of different probabilistic methods such as the perturbation method, stochastic finite element method (sfem) and monte carlo method. these methods were used to study the convergence of direct approach for slope stability analysis and are developed for a linear soil behavior. in this study, two dimensional random fields are used and both the fir...

Although introduced in the case of Poisson random measures (cf [2], [3]), the lent particle method applies as well in other situations. We study here the case of marked point processes. In this case the Malliavin calculus (here in the sense of Dirichlet forms) operates on the marks and the point process doesn’t need to be Poisson. The proof of the method is even much simpler than in the case of...

the angle of repose of soil particles is an important factor for determining critical shear stress for initiation of soil particles motion during the erosion process. there are different methods for measuring the angle of particle repose and the result of each method is somewhat different from those of the others. sliding and fixed-base piling methods are the two most common methods in the lite...

The name of Monte Carlo method is usually given to stochastic techniques which use random number generation. In the case of particle transport, the Monte Carlo method is used to solve directly the Boltzmann equation, without making assumptions on the distribution function. The appropriate probability distributions for the parameters involved are obtained from uniform random number sequences. Th...

Particle tracking is a widely used and promising technique for elucidating complex dynamics of the living cell. The cytoplasm is an active material, in which the kinetics of intracellular structures are highly heterogeneous. Tracer particles typically undergo a combination of random motion and various types of directed motion caused by the activity of molecular motors and other non-equilibrium ...

The geometrical arrangement of metallic nanoparticles plays a crucial role on the optical response of nanoplasmonic samples due to particle-particle interactions. In this work, large-area, two-dimensional meta-glasses (random arrangements) and meta-crystals (periodic arrangements) made of identical metallic nanoparticles are investigated for three different particle densities of 5, 10, and 15 d...

We show that r pseudo-random bits can be obtained by concatenating t blocks of r=t pseudo-random bits, where the blocks are generated in parallel. This can be considered as a parallel version of 8] { recycling random bits by doing a random walk on an expander. The proof is based on the fact that t simultaneous independent random walks on an expander graph is equivalent to a random walk on a muc...

The random drift particle swarm optimization (RDPSO) algorithm is an effective search technique inspired by the trajectory analysis of canonical PSO and free electron model in metal conductors placed external electric field. However, like other variants, RDPSO also inevitably encounters premature convergence when solving multimodal problems. To address this issue, paper proposes a novel diversi...

one of the most important advantages of particle simulation as compared to fluid simulation is the capacity for working with and tracing particles. in particle simulations, the test particle method is usually used to get some idea of the behavior of plasma or other substances. in this method, first, a small number of particles are injected into the frame of static electromagnetic fields. then, ...